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Finding the Fourth Proportional to 639.74, 959.57 and 314.82

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Solution

The fourth proportional to 639.74, 959.57 and 314.82 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.74 : 959.57 = 314.82 : x
  2. Step 2: Convert to fraction form
    639.74/959.57 = 314.82/x
  3. Step 3: Cross multiply
    639.74x = 959.57 × 314.82
  4. Step 4: Simplify right side
    639.74x = 302,091.83
  5. Step 5: Solve for x
    x = 302,091.83/639.74
  6. Step 6: Final answer
    x = 472.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.